{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XBEZ47GDVALWYUDRG7MBJAFPEO","short_pith_number":"pith:XBEZ47GD","schema_version":"1.0","canonical_sha256":"b8499e7cc3a8176c507137d81480af23b745b3fb4bb6464becf2739049b7faaf","source":{"kind":"arxiv","id":"1102.4169","version":1},"attestation_state":"computed","paper":{"title":"Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yavar Kian","submitted_at":"2011-02-21T09:33:58Z","abstract_excerpt":"We obtain global Strichartz estimates for the solution $u$ of the wave equation $\\partial_t^2 u-\\Div_x(a(t,x)\\nabla_xu)=0$ with time-periodic metric $a(t,x)$ equal to 1 outside a compact set with respect to $x$. We assume $a(t,x)$ is a non-trapping perturbation and moreover, we suppose that there are no resonances $z_j\\in\\mathbb{C}$ with $|z_j|\\geq1$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1102.4169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-02-21T09:33:58Z","cross_cats_sorted":[],"title_canon_sha256":"5ae73af1f2b265b73c7d854ec0254f6467baf80cf5fdcde9a7f9f7cf96cc8571","abstract_canon_sha256":"7e279478977c14323b15283e61e48be22b570b866ab15d72171a11c20f2cf9b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:18.849632Z","signature_b64":"NF1uTNEJagdkjyj/tm9Ld3cre3P7QR28cnEX/9RBE7BSlMxjStmipQtc29Qazb5Ko3b7/Ozwxt+DN7xOaL17Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8499e7cc3a8176c507137d81480af23b745b3fb4bb6464becf2739049b7faaf","last_reissued_at":"2026-05-18T04:28:18.848973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:18.848973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yavar Kian","submitted_at":"2011-02-21T09:33:58Z","abstract_excerpt":"We obtain global Strichartz estimates for the solution $u$ of the wave equation $\\partial_t^2 u-\\Div_x(a(t,x)\\nabla_xu)=0$ with time-periodic metric $a(t,x)$ equal to 1 outside a compact set with respect to $x$. We assume $a(t,x)$ is a non-trapping perturbation and moreover, we suppose that there are no resonances $z_j\\in\\mathbb{C}$ with $|z_j|\\geq1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4169","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1102.4169","created_at":"2026-05-18T04:28:18.849053+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4169v1","created_at":"2026-05-18T04:28:18.849053+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4169","created_at":"2026-05-18T04:28:18.849053+00:00"},{"alias_kind":"pith_short_12","alias_value":"XBEZ47GDVALW","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"XBEZ47GDVALWYUDR","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"XBEZ47GD","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO","json":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO.json","graph_json":"https://pith.science/api/pith-number/XBEZ47GDVALWYUDRG7MBJAFPEO/graph.json","events_json":"https://pith.science/api/pith-number/XBEZ47GDVALWYUDRG7MBJAFPEO/events.json","paper":"https://pith.science/paper/XBEZ47GD"},"agent_actions":{"view_html":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO","download_json":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO.json","view_paper":"https://pith.science/paper/XBEZ47GD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4169&json=true","fetch_graph":"https://pith.science/api/pith-number/XBEZ47GDVALWYUDRG7MBJAFPEO/graph.json","fetch_events":"https://pith.science/api/pith-number/XBEZ47GDVALWYUDRG7MBJAFPEO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO/action/storage_attestation","attest_author":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO/action/author_attestation","sign_citation":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO/action/citation_signature","submit_replication":"https://pith.science/pith/XBEZ47GDVALWYUDRG7MBJAFPEO/action/replication_record"}},"created_at":"2026-05-18T04:28:18.849053+00:00","updated_at":"2026-05-18T04:28:18.849053+00:00"}